Abstract
This report summarizes Australian National University (ANU) insurable risk data. It provides an overview of the insurable risks faced by ANU, the risk mitigation mechanisms in place with a focus on risk transfers, and loss data that can be used to guide risk policy. Specifically, the report contains information on how to access the underlying risk data as well as sample statistical (R) code to demonstrate analyses that reveal information about the financial consequences of unanticipated adverse events.The Australian National University (ANU) is a large, complex organization that faces many risks. For example, its 2020 Annual Report describes the extensive financial resources that it enjoys as well as the uncertain obligations, or risks, that it faces. In this report, we document loss experience of risks that ANU has historically found to be insurable.
A risk is said to be insurable if it potentially can be transferred to another party for a fee. Commercially available insurance is an important mechanism for doing so but firms also employ other options such as self insurance pools, peer to peer risk exchanges, and so on.
One way to get insights into whether a risk is insurable is to consider the many risks faced by an organization; these can be described based on concerns expressed by risk managers. To this end, we cite a survey of global risk managers conducted by Aon in 2019, Solutions (2019) (for another viewpoint, see a Deloitte survey, Insights (2019)). From the survey (Page 13), “… Each year we offer respondents the chance to assess their future risk landscape and project the top five risks that their organizations will face in three years’ time.” The survey identifies 69 risks, some of which are insurable, some partially insurable, and others uninsurable. For example, the top five risks are:
This survey was conducted in mid-2019 before the onslaught of the COVID pandemic. Interestingly, global risk managers only identified “Pandemic risk/ health crises” as rank number 60 risk factor. In this report, we focus on risks that a manager might transfer to another entity and so highlight insurable risks. From the survey, the top insurable risks (with their rank in the survey) are given in Table 1.1.
Table 1.1. Top Insurable Risks Facing Firms (Source: Solutions (2019))
\[ \small{ \begin{matrix} \begin{array}{l|l} \hline \hline \textbf{Risk} & \textbf{Risk} \\ \hline \text{4. Business interruption} & \text{44. Directors and Officers personal liability}\\ \text{19. Counter-party credit risk} & \text{47. Fraud}\\ \text{21. Property damage} & \text{52. Theft}\\ \text{22. Environmental risk} & \text{55. Terrorism sabotage}\\ \text{23. Weather natural disasters} & \text{56. Safety and Pharmacovigilance}\\ \text{24. Third party liability} & \text{61. Harassment discrimination}\\ \text{28. Injury to workers} & \text{66. Kidnap and ransom}\\ \text{40. Product recall} & \text{67. Extortion}\\ \hline \hline \end{array} \end{matrix} } \]
Like many large organizations, ANU has extensive risk control activities in place focusing on risk avoidance, loss prevention or reduction, and so-called “risk control transfer” (whereby the responsibility of the risk may be transferred). These activities are designed to mitigate the financial impact that a risk can have on the organization. Anticipating and reducing the potential impact of risks are critical activities of risk managers and are not described further in this report. You can learn more about ANU’s risk philosophy in an overview of ANU Risk Management Policy Statement, ANU (2022a).
Nonetheless, even with the best risk management processes, losses do occur and risk financing methods are needed to provide resources for reimbursing the cost of a loss. These methods fall into two broad classes: retention and risk transfer. ANU takes a layered approach to financing risks:
The amount of risk retention and transfer depends upon the risk type and will be covered throughout this report.
The report is organized as follows:
A supplemental appendix Section 6 provides a brief overview of the many insurance coverages considered in this report.
Major universities such as ANU organize budget responsibilities by layers, beginning from smaller units such as colleges and departments. In addition, ANU owns or is affiliated with several other organizations such as ANU Enterprise Pty Ltd, ANU Union, and so forth. (ANU (2018) provides a list of “named insureds” organizations that participate.) Rather than have each financially responsible unit purchase insurance according to their own needs, in 1994 ANU organized the so-called “Self-Insurance Reserve” or SIR for short. From ANU (2022b), the Self Insurance Reserve (SIR) pool is “for insurance losses that except for the policy excess or coverage limit, would otherwise be covered under the commercial insurance program.” In this way, the university facilitates economies of scale and reduces costs of insurance purchases.
On the one hand, this mechanism affects incentives of units within ANU and so is important. See the 2018-2019 Self-Insurance Reserve Policy (ANU (2018)) for more information about the structure and operations of the SIR pool. On the other hand, because the SIR pool is owned and operated by ANU, there is no external transfer of risk. For many risk financing purposes, this level of detail can be ignored.
To describe the magnitude of the SIR pool, we start with Table 2.1 that provides the number of losses and loss amounts over years 2012-2020. As is common when the numbers of loss are small, the experience is quite variable from year to year.
InsSIRSummaryClaims <- read.csv("..\\ANUData\\SIRClaims.csv", header = T)
TableSIR1 <- summaryBy(Amount ~ Year, data = InsSIRSummaryClaims, FUN = function(x) {
c(num = length(x), m = mean(x), s = sum(x))
})
T1 <- colSums(TableSIR1)
TableSIR <- rbind(TableSIR1, T1)
TableSIR[9, 3] <- TableSIR[9, 4]/TableSIR[9, 2]
names(TableSIR) <- c("Year", "Number", "Average Severity", "Total Loss")
TableSIR <- round(TableSIR, digits = 0)
TableSIR[9, 1] <- "Total"
kableExtra::kbl(TableSIR, caption = "**Summary of SIR Claims, 2012-2020**", align = "ccrr",
format.args = list(big.mark = ",", scientific = FALSE), table.attr = "style='width:80%;'") %>%
kableExtra::kable_classic(full_width = T, html_font = "Cambria") %>%
kable_styling(bootstrap_options = c("striped", "condensed"))
| Year | Number | Average Severity | Total Loss |
|---|---|---|---|
| 2012 | 5 | 75,002 | 375,012 |
| 2013 | 2 | 9,541 | 19,082 |
| 2014 | 11 | 17,453 | 191,981 |
| 2015 | 4 | 68,826 | 275,305 |
| 2016 | 12 | 45,952 | 551,422 |
| 2017 | 7 | 7,465 | 52,253 |
| 2018 | 5 | 32,324 | 161,619 |
| 2019 | 6 | 1,184 | 7,105 |
| Total | 52 | 31,419 | 1,633,779 |
To get a sense of the distribution, Figure 2.1 provides boxplots of individual losses by year. The left-hand panel shows the annual distributions in the original units (AUD) and the right-hand panel gives each annual distribution but on a logarithmic scale. Both plots exhibit substantial variation over time.
p1 <- ggplot(data = InsSIRSummaryClaims, aes(x = factor(Year), y = Amount)) + geom_boxplot() +
theme_bw() + xlab("Year") + theme(axis.text.x = element_text(size = 8)) + ylab("Loss Amount")
p2 <- ggplot(data = InsSIRSummaryClaims, aes(x = factor(Year), y = Amount)) + geom_boxplot() +
theme_bw() + xlab("Year") + scale_y_continuous(trans = "log10") + theme(axis.text.x = element_text(size = 8)) +
ylab("Loss Amount")
grid.arrange(p1, p2, nrow = 1)
Figure 2.1: Distribution of Self-Insurance Reserve Pool Losses by Year
SIR losses over time are subject to deductibles. To interpret this historical information, one needs to understand deductibles that have been applied.
From the 2018-19 Self Insurance Reserve Policy (ANU (2018)), we have information about deductibles for that policy year, including external insurance (see Section 3 for further discussion on external insurance). Deductibles for policy year 2020-2021 are largely consistent with prior years, except that (internal) SIR deductibles for library (part of property), crime, cyber, statutory liability, motor vehicle, group personal accident, corporate travel, marine hull, and marine cargo have been dropped. Beginning in policy year 2021-2022, the SIR property deductible for damage to a building structure has also been waived.
Deductibles and upper limits vary by the type of risk so each loss is categorized accordingly.
InsSIRSummaryClaims <- read.csv("..\\ANUData\\SIRClaims.csv", header = T)
by_Year_Cat <- InsSIRSummaryClaims %>%
group_by(Year, Category)
CrossTabs1 <- by_Year_Cat %>%
summarise(n = n()) %>%
spread(Year, n)
CrossTabs1[is.na(CrossTabs1)] = 0
CrossTabs1A <- data.frame(CrossTabs1)
CrossTabs1A1 <- CrossTabs1A[, -1]
T21col <- colSums(CrossTabs1A1)
T21row <- rowSums(CrossTabs1A1)
Total <- c(T21row, sum(T21col))
CrossTabs1B <- rbind(CrossTabs1, c(NA, T21col))
CrossTabs1B1 <- cbind(CrossTabs1B, Total)
if (CAMPUS == FALSE) {
levels(CrossTabs1B1$Category)[is.na(CrossTabs1B1$Category)] <- "Total"
}
CrossTabs1B1$Category[is.na(CrossTabs1B1$Category)] <- "Total"
kableExtra::kbl(CrossTabs1B1, caption = "Count of SIR Claims by Category and Year", align = "lcccccccccccc",
table.attr = "style='width:80%;'") %>%
kableExtra::kable_classic(full_width = F, html_font = "Cambria") %>%
kable_styling(bootstrap_options = c("striped", "condensed"))
| Category | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | Total |
|---|---|---|---|---|---|---|---|---|---|
| Corporate Travel | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 2 |
| Crime | 0 | 0 | 2 | 2 | 1 | 1 | 0 | 0 | 6 |
| Group Personal Accident | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 2 | 3 |
| Motor Vehicle | 0 | 0 | 3 | 0 | 5 | 1 | 1 | 4 | 14 |
| Property: Buildings / Contents | 3 | 2 | 3 | 2 | 6 | 5 | 3 | 0 | 24 |
| Public Liability | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 3 |
| Total | 5 | 2 | 11 | 4 | 12 | 7 | 5 | 6 | 52 |
CrossTabs2 <- by_Year_Cat %>%
summarise(Loss_Amount = sum(Amount)) %>%
spread(Year, Loss_Amount)
CrossTabs2[is.na(CrossTabs2)] = 0
CrossTabs2A <- data.frame(CrossTabs2)
CrossTabs2A1 <- CrossTabs2A[, -1]
T22col <- colSums(CrossTabs2A1)
T22row <- rowSums(CrossTabs2A1)
Total <- c(T22row, sum(T22col))
CrossTabs2B <- rbind(CrossTabs2, c(NA, T22col))
CrossTabs2B2 <- cbind(CrossTabs2B, Total)
if (CAMPUS == FALSE) {
levels(CrossTabs2B2$Category)[is.na(CrossTabs2B2$Category)] <- "Total"
}
CrossTabs2B2$Category[is.na(CrossTabs2B2$Category)] <- "Total"
kableExtra::kbl(CrossTabs2B2, caption = "**Sum of SIR Claims by Category and Year**",
align = "lrrrrrrrrrr", format.args = list(big.mark = ",", scientific = FALSE),
table.attr = "style='width:80%;'") %>%
kableExtra::kable_classic(full_width = F, html_font = "Cambria") %>%
kable_styling(bootstrap_options = c("striped", "condensed"))
| Category | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | Total |
|---|---|---|---|---|---|---|---|---|---|
| Corporate Travel | 0 | 0 | 300 | 0 | 0 | 0 | 650 | 0 | 950 |
| Crime | 0 | 0 | 20,465 | 48,583 | 73,748 | 3,416 | 0 | 0 | 146,212 |
| Group Personal Accident | 0 | 0 | 10,000 | 0 | 0 | 0 | 0 | 1,692 | 11,692 |
| Motor Vehicle | 0 | 0 | 5,750 | 0 | 16,512 | 760 | 1,605 | 5,413 | 30,040 |
| Property: Buildings / Contents | 291,679 | 19,082 | 152,966 | 226,722 | 461,162 | 48,077 | 159,364 | 0 | 1,359,052 |
| Public Liability | 83,333 | 0 | 2,500 | 0 | 0 | 0 | 0 | 0 | 85,833 |
| Total | 375,012 | 19,082 | 191,981 | 275,305 | 551,422 | 52,253 | 161,619 | 7,105 | 1,633,779 |
You can develop a feel for how these losses arise through a cursory examination of individual SIR claims.
Data access is available in Section 5.1.
To get a sense of the broad risk financing program that ANU employs, Table 3.1 summarizes 15 coverages and premiums paid in year 2020-2021. This summary is based on information provided by Gallagher, a brokerage firm retained by ANU. Due to confidentiality of policies, Table 3.1 excludes the following coverages:
The insurance program is important to the overall financial health of ANU. According to the 2020 Annual Report (page 96), total expenditures for ANU in 2020 were $1,315 million. Thus, the $24,407,255 in insurance premiums represents about 1.86% of total expenditures.
As is evident from Table 3.1, the property risk is by far the most important, accounting for about 95% of the premium. Notably, the property deductible is currently $5 million, representing a large uninsured risk. The second most important risk type is General and Products Liability, representing $448,500 in premiums or about 2% of the total. The other 13 coverages sum to $692,056 that represents about 3% of the total.
| Class.of.Insurance | Insurer | Limit | Deductible | Premium |
|---|---|---|---|---|
| Property | London Syndicate and Others | 1,000,000,000 | 5,000,000 | 23,564,759 |
| General and (G & P) Products Liability | Newline | 20,000,000 | 100,000 | 340,000 |
| G & P Umbrella Liability | Liberty | 50,000,000 | 20,000,000 | 27,500 |
| G & P 1st Exess Liability | QBE | 100,000,000 | 50,000,000 | 27,500 |
| G & P 2nd Excess Liability | Chubb | 150,000,000 | 100,000,000 | 17,500 |
| G & P 3rd Excess Liability | CGU | 200,000,000 | 150,000,000 | 16,000 |
| G & P 4th Excess Liability | Zurich | 250,000,000 | 200,000,000 | 20,000 |
| Cyber | London | 2,000,000 | 250,000 | 75,721 |
| Crime | AIG | 20,000,000 | 100,000 | 100,000 |
| Employment Practices Liability | AIG | 2,000,000 | 100,000 | 84,000 |
| Expat - December Renewal | Chubb | 11,676 | ||
| Group Personal Accident | Chubb | As per schedule | Various | 104,920 |
| Marine Cargo | Richard Oliver (QBE) | 5,000,000 | 5,000 | 6,127 |
| Marine Hull | Richard Oliver (QBE) | 5,000,000 | 150 | 11,552 |
| Motor Vehicle | Vero | As per schedule | 1,000 | 84,700 |
| Professional Indemnity | Newline | $20m / $40m | 100,000 | 130,000 |
| Medical Malpractice | Newline | $20m / $40m | 100,000 | |
| Clinical Trial | Newline | $20m | 2,500 | |
| Statutory Liability | Berkley Insurance Australia (SUA) | 1,000,000 | $1,000 / $15,000 | 8,360 |
| Travel | Chubb | As per schedule | Various | 75,000 |
| TOTALS | 24,407,255 |
You can learn more about the coverages in Appendix Section 6.This coverage data applies to the 2020-21 policy year. (Note: For the 2021-2022 policy, ANU decided to self-fund the cyber risk due to the lack of availability of coverage at an affordable price.)
Prior to 31 October 2020, several of ANU’s risk exposure were covered by Unimutual. Unimutual, formed in 1989, is an insurance mutual pool whose members consist of Australian universities, higher education providers, and associated entities. As of the end of 2020, there were 26 universities and 27 non-University (“Allied”) members. Like many insurance pools, it was formed because commercial insurers did not provide coverage for risks faced by a specific marketplace, in this case the higher education sector.
Unimutual classifies risks according to five types:
The Unimutual website provides additional details.
We start with a summary of recent insurance claims data in Table 3.2. By tradition, the insurance policy years begin on 1 November and finish 31 October. So, for example, Num17.18 refers to the number of claims between 1 November 2017 and 31 October 2018, inclusive. (Note that Expatriate claims are not included as they are not part of the Gallagher report).
In subsequent sections, we analyze detailed claims data where available.
| Coverage | Num19.20 | Num18.19 | Num17.18 | Amt19.20 | Amt18.19 | Amt17.18 |
|---|---|---|---|---|---|---|
| Travel | 255 | 201 | 139 | 363,441 | 192,405 | 261,155 |
| Personal Accident | 2 | 17 | 16 | 3,601 | 22,259 | 16,747 |
| Motor Vehicle | 118 | 26 | 28 | 1,247,827 | 57,880 | 49,697 |
| General & Product Liability | 2 | 1 | 1 | 13,993 | 3,309 | 520,000 |
| Property | 1 | 0 | 1 | 249,500,000 | 0 | 49,500,000 |
| Cyber | 0 | 1 | 0 | 0 | 1,650,364 | 0 |
| Employment Practices Liability | 5 | 1 | 3 | 73,475 | 52,576 | 82,680 |
| Marine Hull | 0 | 0 | 1 | 0 | 0 | 14,084 |
Most notable in Table 3.2 are the following:
Universities purchase corporate travel policies to cover employees and students traveling on official university business for a wide variety of accidents and incidents while away from the campus or primary workplace. This broad coverage includes medical care and evacuation, loss of personal property, extraction for political and weather related reasons, and more. Additional details can be found in ANU’s corporate travel policy. You can also learn more about this line of business from ANU’s insurer, Chubb Travel:
The data provided are maintained by the insurer, Chubb. These data were accessed on 29 July 2022. Compared to other coverages, the data history is long and stable. This coverage began on 1 November 2006. See the following count of claims.
TravelClaims <- read.csv("..\\ANUData\\TravelClaims2022.csv", header = T)
tableTravel <- t(table(TravelClaims$UW.Year))
kableExtra::kbl(tableTravel, caption = "**Travel Claims Frequency** ") %>%
kableExtra::kable_classic_2(position = "center")
| 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 41 | 74 | 102 | 166 | 158 | 141 | 143 | 161 | 158 | 158 | 154 | 139 | 205 | 274 | 1 | 32 |
From this data set, there are 2107 incurred claims. Of these claims, there are 269 zeros and an additional 3 claims where the incurred claim is less than 10. We omit these claims in our analysis.
In addition to the data provided in Section 5.2, ANU analysts have access to information such as descriptions of losses. To protect the privacy of claimants, many of whom are students, we do not provide details of this information. However, to give you a feel for the kind of information available, the following gives a summary.
There are 1835 incurred losses. The distribution of incurred losses is stable over time.
TravelClaims1 <- subset(TravelClaims, Incurred.Loss > 10)
ggplot(data = TravelClaims1, aes(x = factor(UW.Year), y = Incurred.Loss)) + geom_boxplot() +
theme_bw() + xlab("Year") + scale_y_continuous(trans = "log10")
Figure 3.1: Distribution of Travel Losses by Year
sumTravelClaims <- t(summary(TravelClaims1$Incurred.Loss))
kableExtra::kbl(sumTravelClaims, caption = "**Travel Claims Summary Statistics** ") %>%
kableExtra::kable_classic_2(full_width = F, position = "center")
| Min. | 1st Qu. | Median | Mean | 3rd Qu. | Max. |
|---|---|---|---|---|---|
| 11.32 | 255.26 | 550 | 1731.43251 | 1298.67 | 422603.4 |
One can fit a distribution to the losses. In the following, we fit via maximum likelihood the gamma, Pareto, and lognormal distributions to incurred losses. Figure 3.2 suggests that the lognormal distribution appears to be the best fit. If you would like background on this type of analysis, see Actuarial Community (2020).
library(VGAM)
x <- seq(0, 15, by = 0.01)
# Inference assuming a gamma distribution
fit.gamma <- vglm(Incurred.Loss ~ 1, family = gamma2, data = TravelClaims1)
theta <- exp(coef(fit.gamma)[1])/exp(coef(fit.gamma)[2]) # theta = mu / alpha
alpha <- exp(coef(fit.gamma)[2])
fgamma_ex <- dgamma(exp(x), shape = alpha, scale = theta) * exp(x)
# Pareto
fit.pareto <- vglm(Incurred.Loss ~ 1, paretoII, loc = 0, data = TravelClaims1)
fpareto_ex <- dparetoII(exp(x), loc = 0, shape = exp(coef(fit.pareto)[2]), scale = exp(coef(fit.pareto)[1])) *
exp(x)
# Lognormal
fit.LN <- vglm(Incurred.Loss ~ 1, family = lognormal, data = TravelClaims1)
flnorm_ex <- dlnorm(exp(x), mean = coef(fit.LN)[1], sd = exp(coef(fit.LN)[2])) *
exp(x)
plot(density(log(TravelClaims1$Incurred.Loss)), main = "", xlab = "Log Claims") #
# , ylim = c(0 ,0.37) )
lines(x, fgamma_ex, col = "blue", lty = 2)
lines(x, fpareto_ex, col = "purple", lty = 3)
lines(x, flnorm_ex, col = "green", lty = 3)
legend("topleft", c("log(Claim)", "Gamma", "Pareto", "Lognormal"), cex = 0.8, lty = c(1,
2, 3, 4, 1, 1), col = c("black", "blue", "purple", "green")) #4 in lty is 'longdash'
Figure 3.2: Distribution of Travel Losses with Superimposed Fitted Distributions
There is a slight increase in claims over time, about 3.8% per year. As a follow-up, readers may wish to think about mechanisms for adjusting claims for inflation.
Clm_Count <- as.numeric(table(TravelClaims$UW.Year))
N = sum(Clm_Count)
lambdahat = sum(Clm_Count)/length(Clm_Count)
loglikNB <- function(parms) {
r = parms[1]
beta = parms[2]
llk <- -sum(log(dnbinom(Clm_Count, size = r, mu = r * beta)))
llk
}
ini.NB <- c(10, 5)
# loglikNB(ini.NB )
zop.NB <- nlminb(ini.NB, loglikNB, lower = c(0.000001, 0.000001), upper = c(Inf,
Inf))
rhat.NB = zop.NB$par[1]
betahat.NB = zop.NB$par[2]
The number of claims are sufficient that a separate frequency model could be considered. For the frequency of claims, there are 2107 claims over the 2006-2021 period that amounts to 131.69 per year. One might assume that annual claims can be fit using a single distribution to the entire period, such as a Poisson or a negative binomial. Another option is to fit a distribution starting in years 2009, where this is an increase in the amount of claims from prior years. A third option is to omit experience from underwriting year 2019 and on where the number of claims fluctuated dramatically, in part due to the Covid epidemic.
To start, we fit a Poisson distribution and a negative binomial distribution to all claims. The resulting maximum likelihood estimators are \(\hat{\lambda}=\) 131.69 for the Poisson and \(\hat{r}=\) 1.75 and \(\hat{\beta}=\) 75.16 for the negative binomial. The following table compares the empirical percentiles to those under the Poisson and negative binomial. Both fitted distributions did well and neither outperformed the other.
The mechanism for reporting no claims is uncertain, so probably the best option is to remove the zeroes entirely and fit zero-truncated distributions, see for example, Section 2.5.1 of Loss Data Analytics. We leave this as an exercise for motivated readers.
Data access is available in Section 5.2.
Group personal accident insurance offers financial protection in case of injury or death resulting from an incident that occurs on the job. Like workers’ compensation to be described in Section 4, group personal accident offers insurance coverage and liability insurance protection against accidental death or injury. Unlike workers’ compensation, group personal accident covers students and ANU’s voluntary workers.
Several limits apply including $1,000,000 for the period of insurance, $600,000 for non-scheduled flights, and others. These limits were not reached in the data we consider.
The data provided to us are maintained by the insurer, Chubb. These data were accessed on 29 July 2022. These data began in underwriting year 2007. See the following count of claims.
GPAClaims <- read.csv("..\\ANUData\\GroupPersonalAccidentClaims2022.csv", header = T)
tablePersonAcc <- t(table(GPAClaims$UW.Year))
GPAClaimsGT0 <- subset(GPAClaims, Incurred.Loss > 0)
kableExtra::kbl(tablePersonAcc, caption = "**Group Personal Accident Claims Frequency** ") %>%
kableExtra::kable_classic_2(position = "center")
| 2007 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 3 | 5 | 6 | 12 | 14 | 5 | 11 | 17 | 17 | 10 | 35 | 11 |
From this data set, there are 148 incurred claims. Of these claims, there are 35 zeros and an additional 0 claims where the incurred claim is less than 10. We omit these claims in our analysis.
For this coverage, there is a “7 day excess” for weekly benefits but none for general benefits. The database documentation provided to us, and the data we provide, do not indicate whether the excess has been triggered; we have only paid claims. Because of the relatively small size of this class of insurance, we ignore the effects of deductibles for this line.
There are 112 incurred losses. Figure 3.3 indicates that the incurred losses are stable over time.
ggplot(data = GPAClaimsGT0, aes(x = factor(UW.Year), y = Incurred.Loss)) + geom_boxplot() +
theme_bw() + xlab("Year") + scale_y_continuous(trans = "log10")
Figure 3.3: Distribution of Group Personal Accident Losses by Year
sumGPAClaimsGT0 <- t(summary(GPAClaimsGT0$Incurred.Loss, digits = 0))
kableExtra::kbl(sumGPAClaimsGT0, caption = "**Personal Accident Incurred Losses** ") %>%
kableExtra::kable_classic_2(full_width = F, position = "center")
| Min. | 1st Qu. | Median | Mean | 3rd Qu. | Max. |
|---|---|---|---|---|---|
| 90 | 500 | 1000 | 2000 | 2000 | 30000 |
One can fit a distribution to the losses. In the following, we fit via maximum likelihood the gamma, Pareto, and lognormal distributions to incurred losses. Figure 3.4 suggests that the lognormal distribution appears to be the best fit.
library(VGAM)
x <- seq(0, 15, by = 0.01)
# Inference assuming a gamma distribution
fit.gamma <- vglm(Incurred.Loss ~ 1, family = gamma2, data = GPAClaimsGT0)
theta <- exp(coef(fit.gamma)[1])/exp(coef(fit.gamma)[2]) # theta = mu / alpha
alpha <- exp(coef(fit.gamma)[2])
fgamma_ex <- dgamma(exp(x), shape = alpha, scale = theta) * exp(x)
# Pareto
fit.pareto <- vglm(Incurred.Loss ~ 1, paretoII, loc = 0, data = GPAClaimsGT0)
fpareto_ex <- dparetoII(exp(x), loc = 0, shape = exp(coef(fit.pareto)[2]), scale = exp(coef(fit.pareto)[1])) *
exp(x)
# Lognormal
fit.LN <- vglm(Incurred.Loss ~ 1, family = lognormal, data = GPAClaimsGT0)
flnorm_ex <- dlnorm(exp(x), mean = coef(fit.LN)[1], sd = exp(coef(fit.LN)[2])) *
exp(x)
plot(density(log(GPAClaimsGT0$Incurred.Loss)), main = "", xlab = "Log Claims", ylim = c(0,
0.4))
lines(x, fgamma_ex, col = "blue", lty = 2)
lines(x, fpareto_ex, col = "purple", lty = 3)
lines(x, flnorm_ex, col = "green", lty = 3)
legend("topleft", c("log(Claim)", "Gamma", "Pareto", "Lognormal"), cex = 0.8, lty = c(1,
2, 3, 4, 1, 1), col = c("black", "blue", "purple", "green"))
Figure 3.4: Distribution of Group Personal Accident Losses with Superimposed Fitted Distributions
The following analysis indicates that there is no appreciable trend in claims severity over time.
Data access is available in Section 5.3.
This policy covers ANU’s vehicles including cars, vans, utilities, and motorcycles.
There are two parts to this coverage, one for comprehensive damage to the insured vehicles and a second for legal liability.
Part 1 - Loss or Damage to Insured Vehicles. This includes:
Part 2 - Legal Liability. This includes:
The excesses are cumulative and apply to all claims.
For each event, or series of events arising from the one originating cause, ANU bears the amount of the excess in respect of each and every insured vehicle, unless stated otherwise.
The data provided to us are maintained by the insurer, Vero Insurance Limited. These data were accessed on 8 August 2022. These data began in underwriting year 2012. See the following count of claims.
AutoClaims <- read.csv("..\\ANUData\\MotorClaims2022.csv", header = T)
UwYear <- as.Date(AutoClaims$Policy.Term.Start.Date, "%d/%m/%Y")
AutoClaims$UW.Year <- as.numeric(format(UwYear, format = "%Y"))
tableAutoClaims <- t(table(AutoClaims$UW.Year))
kableExtra::kbl(tableAutoClaims, caption = "**Motor Vehicle Claim Frequency** ") %>%
kableExtra::kable_classic_2(position = "center")
| 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 |
|---|---|---|---|---|---|---|---|---|---|---|
| 11 | 20 | 32 | 15 | 19 | 30 | 28 | 26 | 120 | 6 | 11 |
From this data set, there are 318 incurred claims. Of these claims, there are 50 zeros and an additional 0 claims where the incurred claim is less than 10. We omit these claims in our analysis.
ANU analysts have access to additional information such as descriptions of losses. To protect the privacy of claimants, many of whom are students, we do not provide details of this information. However, to give you a feel for the kind of information available, the following gives a summary.
The data provided to us contain the excess as well as the amount paid by Vero. In the following, we provide a basic analysis ignoring the effects of deductibles/excess. We recommend that motivated readers extend our analysis to account for this deductible in both the severity and frequency.
There are 268 incurred losses. When examining data over time, we see that experience in 2020 was dramatically different both in the number of claims and the severity of claims. As discussed, this was due to a large hail storm. For the moment, we treat these claims as part of a single distribution, although other approaches could be considered.
ggplot(data = AutoClaims1, aes(x = factor(UW.Year), y = Motor.Net.Incurred)) + geom_boxplot() +
theme_bw() + xlab("Year") + scale_y_continuous(trans = "log10")
Figure 3.5: Distribution of Motor Vehicle Losses by Year
sumAuto <- t(summary(AutoClaims1$Motor.Net.Incurred, digits = 0))
kableExtra::kbl(sumAuto, caption = "**Motor Vehicle Incurred Losses** ") %>%
kableExtra::kable_classic_2(full_width = F, position = "center")
| Min. | 1st Qu. | Median | Mean | 3rd Qu. | Max. |
|---|---|---|---|---|---|
| 20 | 1000 | 3000 | 7000 | 9000 | 60000 |
One can fit a distribution to the losses. In the following, we fit via maximum likelihood the gamma, Pareto, and lognormal distributions to incurred losses. The lognormal distribution appears to be the best fit.
library(VGAM)
x <- seq(0, 15, by = 0.01)
# Inference assuming a gamma distribution
fit.gamma <- vglm(Motor.Net.Incurred ~ 1, family = gamma2, data = AutoClaims1)
theta <- exp(coef(fit.gamma)[1])/exp(coef(fit.gamma)[2]) # theta = mu / alpha
alpha <- exp(coef(fit.gamma)[2])
fgamma_ex <- dgamma(exp(x), shape = alpha, scale = theta) * exp(x)
# Pareto
fit.pareto <- vglm(Motor.Net.Incurred ~ 1, paretoII, loc = 0, data = AutoClaims1)
fpareto_ex <- dparetoII(exp(x), loc = 0, shape = exp(coef(fit.pareto)[2]), scale = exp(coef(fit.pareto)[1])) *
exp(x)
# Lognormal
fit.LN <- vglm(Motor.Net.Incurred ~ 1, family = lognormal, data = AutoClaims1)
flnorm_ex <- dlnorm(exp(x), mean = coef(fit.LN)[1], sd = exp(coef(fit.LN)[2])) *
exp(x)
plot(density(log(AutoClaims1$Motor.Net.Incurred)), main = "", xlab = "Log Claims",
ylim = c(0, 0.37))
lines(x, fgamma_ex, col = "blue", lty = 2)
lines(x, fpareto_ex, col = "purple", lty = 3)
lines(x, flnorm_ex, col = "green", lty = 3)
legend("topleft", c("log(Claim)", "Gamma", "Pareto", "Lognormal"), cex = 0.8, lty = c(1,
2, 3, 4, 1, 1), col = c("black", "blue", "purple", "green"))
Figure 3.6: Distribution of Motor Vehicle Losses with Superimposed Fitted Distributions
There is a strong trend in motor vehicle claims severity over time. Will need to assess the impact of the recent hail event in 2020.
Data access is available in Section 5.4.
Employment practices liability is a type of liability for wrongful acts arising from the employment process. The insurance covers claims by workers that their legal rights as employees of the company have been violated. This may include sexual harassment, discrimination, wrongful termination, and related misconducts.
For the insurance procured by ANU:
ANU has had a long-term relationship with AIG - Australia for covering this risk. We have AIG data from 2017 through 12 December 2020. There are 11 positive claims for this time frame.
ANU analysts also have access to additional information such as descriptions of losses. To protect the privacy of claimants, we do not provide details of this information. However, to give you a feel for the kind of information available, the following gives a summary of the claim causes:
ANU subscribes to two types of marine policies:
Both coverages are with Richard Oliver (QBE). Section 6 provides additional background on these coverages.
Because of the limited experience, no formal analysis of this line has been conducted. In the following, you will find a subset of the experience simply to provide a feel for these type of data.
Expatriate insurance policies are designed to cover financial and other losses incurred by expatriates while living and working in a country other than one’s own. To illustrate, ANU currently (2022) has an employee in Papa New Guinea that is covered under its expatriate policy. The ANU policy covers:
The insurer for this cover is Chubb. The ANU policy began on 16 June 2017 and had renewed each year on 31 December. In the most current year, the policy began on 31 December 2021 and goes to 1 November 2022.
Because of the limited experience, no formal analysis of this line has been conducted. In the following, you will find a subset of the experience simply to provide a feel for these type of data.
The Unimutual data on ANU’s losses for these risks were accessed on 18 August 2020. This database covers Unimutual claims for the period 1 November 2009 to 31 October 2020.
Table 3.12 summarizes the experience including the number of claims and amount incurred by Unimutual, by type of risk. For the cyber claim, the deductible (responsibility of ANU) is $250,000. For the General and Products Liability claims, the deductible is 10,000. The deductible for property risks varied over time and is available in the detailed claims listing below.
| Class | Number | Total Loss Incurred by Unimutual |
|---|---|---|
| Cyber | 1 | 1,650,364 |
| General and Products Liability | 13 | 1,083,971 |
| Property | 7 | 312,773,398 |
| Total | 21 | 315,507,733 |
Using the risk classification scheme from Table 3.1, there were no reported Unimutual claims for Professional Indemnity, Medical Malpractice, Clinical Trial, and Crime risk types.
Data access is available in Section 5.5.
Workers’ compensation provides cash and medical benefits to workers who are injured or become ill in the course of their employment and provides cash benefits to the survivors of workers killed on the job.
This risk has several features that warrant considering this coverage separate from other financial risks described earlier in this report. These features include:
Workers’ compensation benefits are typically paid out over several years. These benefits help to lower the cost and impact of work-related injury and illness through replacing income, paying medical and rehabilitation expenses, and for permanent impairment payments, all of which can occur over a long period of time. This is in contrast to most lines of general insurance where payments for claims are made relatively quickly. It is true that claim settlement for some property coverages can take a long time but these are exceptions to the general rule. You might think of an analogy to life insurances; in life insurance, the death benefit is paid rather quickly after a claim has been filed whereas for life annuity benefits, payments typically occur over the course of many years. In the same way, workers’ compensation benefits can occur over many years, depending on the recovery of the injured worker.
In many countries including Australia, workers’ compensation coverage is mandatory for businesses. For other lines of general insurance, risk transfer such as insurance is simply good business practice yet is not required. The other exception to this rule is medical malpractice which is also typically mandatory. This requirement means that there is typically additional regulatory scrutiny and administrative requirements involved with this coverage.
Although coverage is required, in many jurisdictions regulators provide options for self-funding, or self-insuring, this risk. Self-insurers often use outside firms known as third-party administrators to settle workers’ compensation claims, in part because of the administrative requirements imposed by regulatory scrutiny. For example, ANU currently self-insures most of its worker’s compensation liability, retaining claims up to a value of $750,000.
In workers’ compensation systems, covered workers are entitled to medical care for their covered injuries or illnesses, and disability benefits to partially replace lost wages. In addition, the survivors of a worker who dies as a result of a covered injury or illness are provided benefits. In general, any injury, illness, or death that arises out of a person’s employment is covered. To get a sense of the size of this obligation, the 2020 ANU annual report (page 97) lists the current liability provision for workers’ compensation to be $2.588 million and the non-current liability provision to be $21.638 million.
For further information, see:
The data provided to us are maintained by ANU. See the following count of claims.
ANUWCPaid <- read.csv("..\\ANUData\\WCClaims.csv", header = T)
ANUWCPaid$Gross.Paid <- as.numeric(ANUWCPaid$Gross.Paid)
ANUWCPaid$InjuryDate <- as.Date(ANUWCPaid$Injury.Date.B3., "%m/%d/%Y")
ANUWCPaid <- ANUWCPaid[, -1]
rownames(ANUWCPaid) <- NULL
TableWC <- table(format(ANUWCPaid$InjuryDate, format = "%Y"))
knitr::kable(TableWC) %>%
kableExtra::kable_classic_2(full_width = F, position = "center")
| Var1 | Freq |
|---|---|
| 2017 | 20 |
| 2018 | 23 |
| 2019 | 9 |
ANU analysts have access to additional workers’ compensation information. To protect the privacy of claimants, many of whom are students, we do not provide details of this information. However, to give you a feel for the kind of information available, the following gives a summary.
In the individual claims data, you will find 52 paid claims. The earliest is 2017-01-18 and the latest is 2019-09-09.
To get a sense of the distribution, you will find that the smallest paid claim is 152, the largest is 267992, and the average is 29689.44. The following provides figures to see the distribution of claims. As is common with claims data, the left-hand panel shows the right-skewed nature of the distribution. To help interpret the distribution, the right-hand panel shows the same data but on the logarithmic scale.
Figure 4.1: Distribution of Workers Compensation Losses
As we have done with other lines of business, one can fit a distribution to the losses. In the following, we fit via maximum likelihood the gamma, Pareto, and lognormal distributions to incurred losses. The lognormal distribution appears to be the best fit.
library(VGAM)
x <- seq(0, 15, by = 0.01)
# Inference assuming a gamma distribution
fit.gamma <- vglm(Gross.Paid ~ 1, family = gamma2, data = ANUWCPaid)
theta <- exp(coef(fit.gamma)[1])/exp(coef(fit.gamma)[2]) # theta = mu / alpha
alpha <- exp(coef(fit.gamma)[2])
fgamma_ex <- dgamma(exp(x), shape = alpha, scale = theta) * exp(x)
# Pareto
fit.pareto <- vglm(Gross.Paid ~ 1, paretoII, loc = 0, data = ANUWCPaid)
fpareto_ex <- dparetoII(exp(x), loc = 0, shape = exp(coef(fit.pareto)[2]), scale = exp(coef(fit.pareto)[1])) *
exp(x)
# Lognormal
fit.LN <- vglm(Gross.Paid ~ 1, family = lognormal, data = ANUWCPaid)
flnorm_ex <- dlnorm(exp(x), mean = coef(fit.LN)[1], sd = exp(coef(fit.LN)[2])) *
exp(x)
plot(density(log(ANUWCPaid$Gross.Paid)), main = "", xlab = "Log Claims", ylim = c(0,
0.3))
lines(x, fgamma_ex, col = "blue", lty = 2)
lines(x, fpareto_ex, col = "purple", lty = 3)
lines(x, flnorm_ex, col = "green", lty = 3)
legend("topleft", c("log(Claim)", "Gamma", "Pareto", "Lognormal"), cex = 0.8, lty = c(1,
2, 3, 4, 1, 1), col = c("black", "blue", "purple", "green")) #4 in lty is 'longdash'
Figure 4.2: Distribution of Workers Compensation Losses with Superimposed Fitted Distributions
Nonetheless, the Pareto distribution is close to the lognormal. For this distribution, the fitted parameters are \(\theta\) (scale) = 30646.22 and \(\alpha\) (shape) = 1.9317. Further, with the fitted distribution, the estimated mean is 32894, the 95th percentile is 113865, and the 99th percentile is 301821.
One could also do an analysis of the gross paid distribution by year.
# Analysis By Year
ANUWCPaid.2017 <- subset(ANUWCPaid, format(ANUWCPaid$InjuryDate, format = "%Y") ==
2017)
ANUWCPaid.2018 <- subset(ANUWCPaid, format(ANUWCPaid$InjuryDate, format = "%Y") ==
2018)
ANUWCPaid.2019 <- subset(ANUWCPaid, format(ANUWCPaid$InjuryDate, format = "%Y") ==
2019)
par(mfrow = c(2, 3))
hist(ANUWCPaid.2017$Gross.Paid, main = "", xlim = c(0, 1500000), xlab = "2017 Gross Paid")
hist(ANUWCPaid.2018$Gross.Paid, main = "", xlim = c(0, 1500000), xlab = "2018 Gross Paid")
hist(ANUWCPaid.2019$Gross.Paid, main = "", xlim = c(0, 1500000), xlab = "2019 Gross Paid")
hist(log(ANUWCPaid.2017$Gross.Paid), main = "", xlim = c(5, 16), xlab = "2017 Log Gross Paid")
hist(log(ANUWCPaid.2018$Gross.Paid), main = "", xlim = c(5, 16), xlab = "2018 Log Gross Paid")
hist(log(ANUWCPaid.2019$Gross.Paid), main = "", xlim = c(5, 16), xlab = "2019 Log Gross Paid")
Figure 4.3: Distribution of Workers Compensation Losses by Year
In the data file, you will find that the gross paid is decomposed into a medical component, payments for incapacity, rehabilitation, and an “other” category (the residual from the gross less the first three components). Some readers will find it interesting to analyze each component on its own.
Further, ANU analysts have access to additional workers’ compensation information. To protect the privacy of claimants, many of whom are students, we do not provide details of this information. However, to give you a feel for the kind of information available, the following gives a summary.
Data access is available in Section 5.6.
Section 2 provides a general introduction to the Self-Insurance Reserve (SIR) Pool Data. Specifically, there are 52 observations in this dataset. The variable names are described in Table 5.1 and the first and last five observations are in Table 5.2. The data are available using this button: .
| Variable | Description |
|---|---|
| Year | Year that the claim occurred |
| Category | Type of claim |
| Amount | Amount of the claim |
| Description | Brief description of the claim |
| Year | Category | Amount | Description |
|---|---|---|---|
| 2019 | Group Personal Accident | 257 | Claimant tripped on uneven pavement on campus |
| 2019 | Group Personal Accident | 1435 | Bicycle incident - reimbursement for eyewear |
| 2019 | Motor Vehicle | 700 | Car damaged at ANU carpark due to winds |
| 2019 | Motor Vehicle | 695 | Car damaged at ANU carpark due to winds |
| 2019 | Motor Vehicle | 2368 | ANU-owned bollard fall on claimant’s vehicle |
| Year | Category | Amount | Description |
|---|---|---|---|
| 2012 | Property: Buildings / Contents | 21057 | Burst Water Pipes |
| 2012 | Property: Buildings / Contents | 185000 | Laboratory Fire |
| 2012 | Property: Buildings / Contents | 85622 | Cracked Glass Furnace |
| 2012 | Public Liability | 58333 | Liability Claimant |
| 2012 | Public Liability | 25000 | Liability Claimant |
Source: Frees, Edward and Butt, Adam (2022). “ANU Self Insurance Reserve Pool Losses 2022”. Australian National University Data Commons. DOI https://doi.org/10.25911/74sx-x144.
Section 3.3.1 provides a general introduction to the Corporate Travel Data. There are 2107 observations in this dataset. The variable names are described in Table 5.3 and the first and last five observations are in Table 5.4.
Data are available using this button: .
| Variable | Description |
|---|---|
| UW Year | Underwriting Year |
| Loss Date | Date that the loss occurred |
| Reported Date | Date that the loss was reported |
| Last Trans Date | Last date in which there was a transaction regarding the loss |
| Paid Loss | Cumulative amount paid on the loss |
| Outstanding Reserve | Estimate of the loss amount yet to be paid |
| Incurred Loss | Sum of the amount paid and the estimate of future payments |
| Status | An indicator as to whether the claim has been deemed settled (closed) or not settled (open) |
| UW.Year | Loss.Date | Reported.Date | Last.Trans.Date | Paid.Loss | Outstanding.Reserve | Incurred.Loss | Status |
|---|---|---|---|---|---|---|---|
| 2021 | 19/12/2021 | 20/12/2021 | 24/12/2021 | 10000.00 | 0 | 10000.00 | Closed |
| 2021 | 9/4/2022 | 29/04/2022 | 30/05/2022 | 423.08 | 0 | 423.08 | Closed |
| 2021 | 2/5/2022 | 4/5/2022 | 0.00 | 500 | 500.00 | Open | |
| 2021 | 5/5/2022 | 17/05/2022 | 0.00 | 562 | 562.00 | Open | |
| 2021 | 30/04/2022 | 27/05/2022 | 10/6/2022 | 1500.00 | 0 | 1500.00 | Closed |
| UW.Year | Loss.Date | Reported.Date | Last.Trans.Date | Paid.Loss | Outstanding.Reserve | Incurred.Loss | Status |
|---|---|---|---|---|---|---|---|
| 2006 | 1/11/2006 | 19/06/2007 | 0.00 | 0 | 0.00 | Closed | |
| 2006 | 24/06/2007 | 26/06/2007 | 8/1/2008 | 6278.10 | 0 | 6278.10 | Closed |
| 2006 | 4/7/2007 | 6/7/2007 | 11/9/2007 | 114.50 | 0 | 114.50 | Closed |
| 2006 | 20/05/2007 | 26/06/2007 | 14/07/2007 | 135.65 | 0 | 135.65 | Closed |
| 2006 | 15/02/2007 | 27/06/2007 | 14/07/2007 | 1207.75 | 0 | 1207.75 | Closed |
Source: Frees, Edward and Butt, Adam (2022). “ANU Corporate Travel Insurance Claims 2022”. Australian National University Data Commons. DOI https://doi.org/10.25911/vrdw-9f32.
Section 3.3.2 provides a general introduction to the Group Personal Accident Data. There are 148 observations in this dataset. The variable names are described in Table 5.5 and the first and last five observations are in Table 5.6.
Data are available using this button: .
| Variable | Description |
|---|---|
| UW Year | Underwriting Year |
| Loss Date | Date that the loss occurred |
| Last Trans Date | Last date in which there was a transaction regarding the loss. |
| Paid Loss | Cumulative amount paid on the loss |
| Outstanding Reserve | Estimate of the loss amount yet to be paid |
| Incurred Loss | Sum of the amount paid and the estimate of future payments |
| Status | An indicator as to whether the claim has been deemed settled (closed) or not settled (open) |
| UW.Year | Loss.Date | Last.Trans.Date | Paid.Loss | Outstanding.Reserve | Incurred.Loss | Status |
|---|---|---|---|---|---|---|
| 2021 | 6/12/2021 | 3/6/2022 | 805.0 | 0.0 | 805 | Closed |
| 2021 | 15/11/2021 | 0.0 | 0.0 | 0 | Closed | |
| 2021 | 15/11/2021 | 0.0 | 0.0 | 0 | Closed | |
| 2021 | 22/03/2022 | 4/5/2022 | 396.0 | 0.0 | 396 | Closed |
| 2021 | 11/4/2022 | 2/8/2022 | 740.1 | 359.9 | 1100 | Open |
| UW.Year | Loss.Date | Last.Trans.Date | Paid.Loss | Outstanding.Reserve | Incurred.Loss | Status |
|---|---|---|---|---|---|---|
| 2010 | 6/3/2011 | 26/07/2011 | 776.00 | 0 | 776.00 | Closed |
| 2010 | 22/07/2011 | 23/01/2012 | 4624.54 | 0 | 4624.54 | Closed |
| 2010 | 5/6/2011 | 30/01/2012 | 1503.65 | 0 | 1503.65 | Closed |
| 2007 | 11/1/2008 | 23/02/2008 | 0.00 | 0 | 0.00 | Closed |
| 2007 | 29/08/2008 | 0.00 | 0 | 0.00 | Closed |
Source: Frees, Edward and Butt, Adam (2022). “ANU Group Personal Accident Claims 2022”. Australian National University Data Commons. https://doi.org/10.25911/jcfx-zj56.
Section 3.3.3 provides a general introduction to the Motor Vehicle Data. There are 318 observations in this dataset. The variable names are described in Table 5.7 and the first and last five observations are in Table 5.8.
Data are available using this button: .
| Variable | Description |
|---|---|
| Policy Term Start Date | Start date of the contract year in which the loss occurred |
| Loss Date | Date that the loss occurred |
| Reported Date | Date that the loss was reported |
| Motor Fault | Party responsible for the loss |
| Driver Age | Age of the driver |
| Vehicle Description | Type of vehicle |
| Loss Postcode | Postal code where the loss occurred |
| Excess | The deductible applied to the loss |
| Motor Net Paid | Amount paid to the insured (ANU) |
| Outstanding Estimate | Estimate of the loss amount yet to be paid |
| Motor Net Incurred | Sum of the amount paid and the estimate of future payments |
| Third Party Identified | Indicates whether a responsible third party could be identified |
| Third Party Insured | Indicates whether a responsible third party was insured |
| Policy.Term.Start.Date | Loss.Date | Reported.Date | Motor.Fault | Driver.Age | Vehicle.Description | Loss.Postcode | Excess | Motor.Net.Paid | Outstanding.Estimate | Motor.Net.Incurred | Third.Party.Identified | Third.Party.Insured |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1/11/2011 | 6/6/2012 | 4/10/2012 | THIRD PARTY RESPONSIBLE | NA | FORD TRANSIT VAN | 2600 | 1000 | 384.88 | 0 | 384.88 | IDENTIFIED | |
| 1/11/2011 | 16/08/2012 | 14/11/2013 | INSURED RESPONSIBLE | 39 | TOYOTA HIACE | 2612 | 1000 | 901.21 | 0 | 901.21 | ||
| 1/11/2011 | 4/9/2012 | 17/01/2013 | INSURED RESPONSIBLE | 52 | HYUNDAI IX35 | 2600 | 1000 | 1225.71 | 0 | 1225.71 | ||
| 1/11/2011 | 21/09/2012 | 28/09/2012 | THIRD PARTY RESPONSIBLE | 59 | HOLDEN COMMODORE | 2518 | NA | 1671.76 | 0 | 1671.76 | IDENTIFIED | NOT INSURED |
| 1/11/2011 | 22/09/2012 | 12/10/2012 | INSURED RESPONSIBLE | NA | SUBARU FORESTER | 2612 | 1000 | 3418.86 | 0 | 3418.86 | INSURED |
| Policy.Term.Start.Date | Loss.Date | Reported.Date | Motor.Fault | Driver.Age | Vehicle.Description | Loss.Postcode | Excess | Motor.Net.Paid | Outstanding.Estimate | Motor.Net.Incurred | Third.Party.Identified | Third.Party.Insured |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1/11/2021 | 4/4/2022 | 5/4/2022 | INSURED RESPONSIBLE | 66 | VOLKSWAGEN TIGUAN | 2604 | 0 | 2373.49 | 1056.00 | 3429.49 | ||
| 11/1/2021 | 11/4/2022 | 9/5/2022 | INSURED RESPONSIBLE | 27 | TOYOTA HILUX | 2540 | 0 | 210.00 | 25000.00 | 25210.00 | ||
| 1/11/2021 | 11/4/2022 | 9/5/2022 | INSURED RESPONSIBLE | 27 | TOYOTA HILUX | 2540 | 0 | 0.00 | 31927.27 | 31927.27 | ||
| 11/1/2021 | 15/04/2022 | 11/7/2022 | INSURED RESPONSIBLE | 21 | TOYOTA HILVX | 2601 | 0 | 0.00 | 2750.00 | 2750.00 | ||
| 1/11/2021 | 18/07/2022 | 18/07/2022 | NO-ONE RESPONSIBLE | NA | TOYOTA HILUX | 2601 | 0 | 0.00 | 299.00 | 299.00 |
Source: Frees, Edward and Butt, Adam (2022). “ANU Motor Vehicle Claims 2022”. Australian National University Data Commons. DOI https://doi.org/10.25911/g7e4-9e46.
Section 3.3.7 provides a general introduction to the Unimutual Claims Data. There are 21 observations in this dataset. The variable names are described in Table 5.9 and the first and last five observations are in Table 5.10.
Data are available using this button: .
| Variable | Description |
|---|---|
| Class | Type of loss |
| Year | Underwriting year in which the loss occurred |
| Incident Type | Brief description of the cause of the loss |
| Retention | The amount that the member (ANU) is responsible for |
| NetPaid | The amount paid by the (Unimutual) fund |
| Outstand | Estimate of the loss amount yet to be paid |
| NetLessMember | The amount paid by the (Unimutual) fund minus the amount paid by the member (ANU) |
| Class | Year | Incident.Type | Retention | NetPaid | Outstand | NetLessMember |
|---|---|---|---|---|---|---|
| Property | 2009 - 2010 | Fire/Explosion | 750000 | 432282.02 | 0 | 232282.02 |
| Property | 2011 - 2012 | Fire/Explosion | 200000 | 2737242.73 | 0 | 2537242.73 |
| General and Products Liability | 2011 - 2012 | Slip/Trip/Fall | 10000 | 7522.73 | 0 | 0.00 |
| Property | 2012 - 2013 | Fire/Explosion | 200000 | 11182841.63 | 0 | 10982841.63 |
| Property | 2012 - 2013 | Water Damage | 200000 | 10481.64 | 0 | 9981.64 |
| Class | Year | Incident.Type | Retention | NetPaid | Outstand | NetLessMember |
|---|---|---|---|---|---|---|
| Cyber | 2018 - 2019 | Breach of Privacy | 250000 | 33093.71 | 1867270.29 | 1650364 |
| General and Products Liability | 2018 - 2019 | Bodily Injury (excl Slip, Trip & Fall) | 10000 | 2471.00 | 0.00 | 0 |
| Property | 2019 - 2020 | Storm | 500000 | 56608208.68 | 193391791.30 | 249500000 |
| General and Products Liability | 2019 - 2020 | Libel/Slander | 10000 | 8617.50 | 1382.50 | 0 |
| General and Products Liability | 2019 - 2020 | Libel/Slander | 10000 | 5375.50 | 4624.50 | 0 |
Source: Frees, Edward and Butt, Adam (2022). “ANU Unimutual Claims 2022”. Australian National University Data Commons. DOI https://doi.org/10.25911/ymnw-6a81.
Section 4 provides a general introduction to the Workers Compensation Data. There are 52 observations in this dataset. The variable names are described in Table 5.11 and the first and last five observations are in Table 5.12.
Data are available using this button: .
| Variable | Description |
|---|---|
| Injury Date(B3) | Date that the injury occurred |
| Claim status code | Claim status code |
| Nature of injury disease | Nature of injury disease |
| Gross Est | Gross estimate |
| Gross Paid | Gross paid |
| Medical PTD | Medical paid to date |
| Incapacity PTD | Incapacity paid to date |
| Rehab PTD | Rehabilitation paid to date |
| Injury.Date.B3. | Claim.status.code | Nature.of.injury.disease | Gross.Est | Gross.Paid | Medical.PTD | Incapacity.PTD | Rehab.PTD |
|---|---|---|---|---|---|---|---|
| 2/8/2018 | C | 1 | 186462 | 127371 | 16587 | 93908 | 11755 |
| 4/12/2018 | C | 1 | 68150 | 76647 | 5520 | 66522 | 0 |
| 5/31/2017 | F | 1 | 0 | 76270 | 12017 | 45507 | 18161 |
| 7/25/2017 | F | 1 | 0 | 34070 | 8417 | 13862 | 8957 |
| 3/1/2018 | F | 1 | 0 | 25430 | 2649 | 19955 | 1230 |
| Injury.Date.B3. | Claim.status.code | Nature.of.injury.disease | Gross.Est | Gross.Paid | Medical.PTD | Incapacity.PTD | Rehab.PTD |
|---|---|---|---|---|---|---|---|
| 11/23/2017 | C | 23 | 90127 | 66916 | 16812 | 32033 | 17807 |
| 11/24/2018 | F | 23 | 0 | 1741 | 1741 | 0 | 0 |
| 9/9/2019 | C | 24 | 17706 | 12294 | 9245 | 0 | 2978 |
| 6/12/2018 | F | 24 | 0 | 30280 | 7473 | 22497 | 0 |
| 1/30/2018 | F | 24 | 0 | 12638 | 12638 | 0 | 0 |
Source: Frees, Edward and Butt, Adam (2022). “ANU Workers Compensation Losses 2022”. Australian National University Data Commons. DOI https://doi.org/10.25911/y8a3-t990.
Descriptions of these insurance classes are broadly available, see, for example, the International Risk Management Institute.
The property protection cover is a large portion of the ANU risk portfolio. It is a complex coverage that cannot easily be represented using a simple deductible, upper limit, and premium. This cover is subdivided into two main sections:
Within these two broad sections, there is a host of sub-limits of liability (that are applied in excess of the deductible). These limits are for a single loss, or a series of losses related to a single event. For material loss or damage, they include accidental damage (25 million), burglary and theft (1 million), replacement of locks and keys (2 millions), and so on. For consequential loss, they include loss of revenue or increased cost of work (60 millions), termination of employment expenses (19 millions), and so on.
General and products liability insurance protects businesses from most liability exposures other than automobile and professional liability. It can include bodily injury and property damages caused to others. Or, it may be liability for financial damages that result from libel, slander, wrongful eviction or false arrest, or violating one’s right to privacy. Some insurers sell separately product liability insurance that provides protection against financial loss arising out of the legal liability incurred by an insured because of injury or damage resulting from the use of a covered product.
ANU’s cyber insurance provides a cover for losses arising out of a breach of personal as well as corporate information (including claims against an outsourcer), data security liability, media content liability, cyber extortion, network interruption and defense costs.
Broadly, this policy covers a variety of both liability and property losses that may result when ANU engages in various electronic activities. For example, it covers liability for a data breach in which students’ personal information is exposed or stolen by a hacker or other criminal. It can cover a variety of expenses associated with data breaches including notification costs, credit monitoring, costs to defend claims, fines and penalties, and loss resulting from identity theft.
Crime insurance provides ANU protection from employee and executive fraud or dishonesty, third-party crime, as well as electronic and computer crime. In general, it provides coverage for loss of money, securities, or other assets resulting from acts such as employee theft, certain types of fraud by third parties (forgery, for example), theft of property from the premises, and social engineering (impersonation fraud). That is, crime insurance provides cover for the loss of property (money or goods) belonging to ANU directly resulting from the dishonest acts committed by an employee for his or her own personal gain whether acting alone or in collusion with others.
Employment practices liability is a type of liability for wrongful acts arising from the employment process. The insurance covers claims by workers that their legal rights as employees of the company have been violated. This may include sexual harassment, discrimination, wrongful termination, and related misconducts.
At ANU, the claim causes include:
Expatriate insurance policies are designed to cover financial and other losses incurred by expatriates while living and working in a country other than one’s own. The most common insurance policies purchased by expatriates include:
Group personal accident insurance offers financial protection in case of injury or death resulting from an incident that occurs on the job. Like workers’ compensation, group personal accident offers insurance coverage and liability insurance protection against accidental death or injury. Unlike workers’ compensation, group personal accident covers students and ANU’s voluntary workers. Unlike workers compensation Insurance, the cover applies 24 hours a day, 7 days a week. Further, the cover applies when traveling on official university business; so, it can be arranged to apply worldwide.
The policy provides a lump sum benefit for an injury that results directly in death, permanent total disablement, paraplegia, and quadriplegia, loss of sight, loss of limb or limbs and loss of hearing. In addition and subject to any sub limits the policy provides cover for the following expenses incurred as a result of an injury:
Universities purchase corporate travel policies to cover employees and students traveling on official university business for a wide variety of accidents and incidents while away from the campus or primary workplace. This broad coverage includes medical care and evacuation, loss of personal property, extraction for political and weather related reasons, and more. According to ANU’s insurer, Chubb Travel, this insurance can cover:
Professional indemnity, medical malpractice, and clinical trials are types of professional liability coverages that are designed to protect businesses under the complaint that they were harmed by a professional’s negligence or intentionally harmful treatment decisions.
Deductibles and policy upper limits vary by line. For ANU, these include:
Professional indemnity insurance is designed to protect business owners, freelancers and the self-employed if clients claim a service is inadequate. Any organization that provides a professional service or gives advice could be sued if the recipient is unhappy with their work.
Professional indemnity typically provides coverage on a claims made basis which means that claims first notified and reported to the insurer during the period of insurance are recoverable. The actual loss date does not matter, subject to the provisions of any clause relating to a retroactive date. In contrast, an occurrence policy covers claims that occurred while the policy was in effect.
To be specific, ANU’s Professional indemnity excess/deductible is 100,000. The Professional Indemnity upper policy limit is $20,000,000 plus two reinstatements.
Medical malpractice, also known as medical professional liability, is a type of insurance that provides compensation to injured patients and families because of health care provider negligence, see for example, Frees and Gao (2020). It covers the acts, errors, and omissions of physicians and surgeons, encompassing physicians professional liability insurance, hospital professional liability (HPL) insurance, and allied healthcare (e.g., nurses) professional liability insurance.
Although the majority of policies are written with a claims-made coverage trigger, such coverage is sometimes available on an occurrence basis.
Clinical trials insurance provides protection for the organizers of clinical trials for drug and medical device testing. It covers their legal liability to pay compensation in the event of an injury to a trial participant. Such liability can arise in all phases of clinical trials for drugs and medical devices including negligent harm to trial participants and non-negligent harm (also known as no-fault compensation). The underwriting for this insurance is based on an agreed protocol and informed patient consent form that describes the objectives, design, methodology, statistical considerations, and organization of a clinical trial.
As summarized in (“Statutory liability” 2022), businesses are responsible for complying with a myriad of local, state, and federal laws and regulations. Accidental breaches of the law can put a company at risk for payments in lawsuits, compensatory damages, and settlements to resolve claims. In Australia, businesses commonly purchase statutory liability insurance to protect themselves from the fines, penalties, and legal fees that can result from an accidental breach of law. These may include occupational health and safety laws, environmental laws, and employment laws. This insurance coverage can include expenses for defense costs, inquiry costs, fines, and penalties, where insurable by law.
Not surprisingly, breaches of Work, Health and Safety legislation account for a high proportion of claims being made under Statutory Liability. Measures are being taken to curb workplace accidents in those industries with a higher element of danger including Mining, Agriculture and Construction. However, due to the physically intense nature of the work, these employees face a greater risk of injury than those in less active roles.
This policy covers ANU’s vehicles including cars, vans, utilities, and motorcycles. There are two parts to this coverage, one for comprehensive damage to the insured vehicles and a second for legal liability.
The first part is for loss or damage to insured vehicles, including:
The second part is for legal liability arising from claims from a third party. This cover is limited by:
ANU subscribes to two types of marine policies:
For attribution, please cite this work as
Frees, Edward W. and Butt, Adam (2022). “ANU insurable risks.” Australian National University Open Research Library. https://doi.org/10.25911/0SE7-N746.
This work is licensed under a Creative Commons Attribution 4.0 International License.
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